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Finding the Fourth Proportional to 687.86, 949.23 and 404.34

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Solution

The fourth proportional to 687.86, 949.23 and 404.34 is: 557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.86 : 949.23 = 404.34 : x
  2. Step 2: Convert to fraction form
    687.86/949.23 = 404.34/x
  3. Step 3: Cross multiply
    687.86x = 949.23 × 404.34
  4. Step 4: Simplify right side
    687.86x = 383,811.66
  5. Step 5: Solve for x
    x = 383,811.66/687.86
  6. Step 6: Final answer
    x = 557.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.